Results 11 to 20 of about 1,228,906 (333)

Positive solutions for nonparametric anisotropic singular solutions [PDF]

Opuscula Mathematica
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation. There is no parameter in the problem. Using variational tools and truncation and comparison techniques, we show the existence of at least two ...
Nikolaos S. Papageorgiou, Vicen�iu D. R�dulescu, Xueying Sun   +2 more
openaire   +2 more sources

Positive solutions of the diophantine equation

International Journal of Mathematics and Mathematical Sciences, 1981
Integral solutions of x3 + λy + 1 − xyz = 0 are observed for all integral λ. For λ = 2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ = 1.
W. R. Utz
openaire   +3 more sources

Positive solutions of the heat equation [PDF]

Bulletin of the American Mathematical Society, 1963
D. V. Widder
openaire   +3 more sources

Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation

Boundary Value Problems, 2022
In this paper, we show that the radially symmetric k-admissible solutions set of a k-Hessian equation Dirichlet problem with homogeneous boundary condition contains a reversed S-shaped connected component.
Liangying Miao, Zhiqian He
doaj   +1 more source

Unmet basic needs negatively affect health-related quality of life in people aging with HIV: results from the Positive Spaces, Healthy Places study

BMC Public Health, 2018
Background Basic needs (e.g., food security and stable housing) are important determinants of health and well-being, yet their impact on health-related quality of life (HRQoL) in the context of HIV and aging has not been systematically investigated ...
Phan Sok, Sandra Gardner, Tsegaye Bekele, Jason Globerman, Mary V. Seeman, Saara Greene, Michael Sobota, Jay J. Koornstra, LaVerne Monette, Keith Hambly, Stephen W. Hwang, James Watson, Glen Walker, Sean B. Rourke, The Positive Spaces, Healthy Places Team   +14 more
doaj   +1 more source

Positive solutions for parametric (p(z),q(z))-equations

Open Mathematics, 2020
We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek, Krech Ireneusz, Papageorgiou Nikolaos S.   +2 more
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Normalized solutions to the Schrödinger systems with double critical growth and weakly attractive potentials

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we look for solutions to the following critical Schrödinger system $$\begin{cases} -\Delta u+(V_1+\lambda_1)u=|u|^{2^*-2}u+|u|^{p_1-2}u+\beta r_1|u|^{r_1-2}u|v|^{r_2}&{\rm in}\ \mathbb{R}^N,\\ -\Delta v+(V_2+\lambda_2)v=|v|^{2^*-2}v+|v ...
Lei Long, Xiaojing Feng
doaj   +1 more source

On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value

Nonlinear Analysis, 2006
This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
doaj   +1 more source

New Positive Solutions of Nonlinear Elliptic PDEs

Applied Sciences, 2020
We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs.
Mustafa Inc, Noureddine Bouteraa, Mehmet Ali Akinlar, Slimane Benaicha, Yu-Ming Chu, Gerhard-Wilhelm Weber, Bandar Almohsen   +6 more
doaj   +1 more source

Radial positive solutions for (p(x),q(x))-Laplacian systems

Boletim da Sociedade Paranaense de Matemática, 2022
In this paper, we study the existence of radial positive solutions for nonvariational elliptic systems involving the p(x)-Laplacian operator, we show the existence of solutions using Leray-Schauder topological degree theory, sustained by Gidas-Spruck ...
Mohamed Zitouni, Ali Djellit, Lahcen Ghannam   +2 more
doaj   +1 more source